Jump to navigation Jump to search

General

Display information for equation id:math.286743.12 on revision:286743

* Page found: Talk:Covariance matrix (eq math.286743.12)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 2b599e9769084f4cda643a9d5fc858c6

TeX (original user input):

 \operatorname{cov}(\mathbf{X},\mathbf{X}) = \operatorname{cov}(\mathbf{X},\mathbf{Y}) = \operatorname{cov}(\mathbf{Y},\mathbf{X})^\top

TeX (checked):

\operatorname {cov} (\mathbf {X} ,\mathbf {X} )=\operatorname {cov} (\mathbf {X} ,\mathbf {Y} )=\operatorname {cov} (\mathbf {Y} ,\mathbf {X} )^{\top }

LaTeXML (experimental; uses MathML) rendering

MathML (4.613 KB / 912 B) :

cov ( 𝐗 , 𝐗 ) = cov ( 𝐗 , 𝐘 ) = cov ( 𝐘 , 𝐗 ) fragments cov fragments ( X , X ) cov fragments ( X , Y ) cov superscript fragments ( Y , X ) top {\displaystyle{\displaystyle\operatorname{cov}(\mathbf{X},\mathbf{X})=% \operatorname{cov}(\mathbf{X},\mathbf{Y})=\operatorname{cov}(\mathbf{Y},% \mathbf{X})^{\top}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\operatorname{cov}(\mathbf{X},\mathbf{X})=%&#10;\operatorname{cov}(\mathbf{X},\mathbf{Y})=\operatorname{cov}(\mathbf{Y},%&#10;\mathbf{X})^{\top}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">cov</mi>
      <mrow id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">(</mo>
        <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">𝐗</mi>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">,</mo>
        <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">𝐗</mi>
        <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">=</mo>
      <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">cov</mi>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">(</mo>
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">𝐗</mi>
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">,</mo>
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">𝐘</mi>
        <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">=</mo>
      <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">cov</mi>
      <msup id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">
        <mrow id="p1.1.m1.1.28.2" xref="p1.1.m1.1.28.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">(</mo>
          <mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">𝐘</mi>
          <mo id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">,</mo>
          <mi id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">𝐗</mi>
          <mo stretchy="false" id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml"></mo>
      </msup>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">cov</ci>
        <cerror id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.1a.cmml" xref="p1.1.m1.1.1">fragments</csymbol>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">X</csymbol>
          <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">,</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">X</csymbol>
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
        <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">cov</ci>
        <cerror id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.2a.cmml" xref="p1.1.m1.1.2">fragments</csymbol>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">X</csymbol>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">,</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">Y</csymbol>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
        <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">cov</ci>
        <apply id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">
          <csymbol cd="ambiguous" id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28">superscript</csymbol>
          <cerror id="p1.1.m1.1.28.2.cmml" xref="p1.1.m1.1.28.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.28.2a.cmml" xref="p1.1.m1.1.28.2">fragments</csymbol>
            <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">(</ci>
            <csymbol cd="unknown" id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">Y</csymbol>
            <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">,</ci>
            <csymbol cd="unknown" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">X</csymbol>
            <ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">)</ci>
          </cerror>
          <csymbol cd="latexml" id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">top</csymbol>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\operatorname{cov}(\mathbf{X},\mathbf{X})=%
\operatorname{cov}(\mathbf{X},\mathbf{Y})=\operatorname{cov}(\mathbf{Y},%
\mathbf{X})^{\top}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (6.737 KB / 2.166 KB) :

c o v left-parenthesis bold upper X comma bold upper X right-parenthesis equals c o v left-parenthesis bold upper X comma bold upper Y right-parenthesis equals c o v left-parenthesis bold upper Y comma bold upper X right-parenthesis Superscript down-tack

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

Translation to Mathematica

In Mathematica:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

Similar pages

Calculated based on the variables occurring on the entire Talk:Covariance matrix page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results